A student wrote the equation 4(x+5.5)=3(1.5x+4.75) to represent the problem shown. Find her mistake and correct it. Petra and her 4 friends went to the movies. They each bought a ticket for x dollars and spent $5.50 each on snacks. Valentina and her 3 friends went to the movies and paid 1.5 times as much for each of their tickets as Petra. Everyone in Valentina’s group also spent $4.75 each on snacks. If both groups spent the same amount, what is the cost of a ticket for Petra’s group?

Step-by-step explanation:

The first group consists of Petra and 4 friends, so the total number of members is 5, therefore the left side of equation should be:

The second group consists of 4 people, Valentina and 3 friends, therefore the right side of the equation should be:

Solving the equation to find the cost of a ticket for Petra's group:

Cost of a ticket is $8.5

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

60: 45 =12: 9 =4: 3 so the answer is 4: 3